Details

Time bar (total: 14.3s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
30.0ms
(/ (- x y) (+ x y))

series93.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- x y) (+ x y))

simplify2.7s

Counts
49 → 49
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
078600
1188573
2463545
31100545
42967538
done5000538

prune97.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
11.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
107.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (+ x y))
48.0ms
(/ x (+ x y))
81.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.2s

Counts
103 → 103
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01301135
12611070
25621028
311991028
434571024
done50011024

prune288.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))
0.0b
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
0.0b
(exp (- (/ x (+ x y)) (/ y (+ x y))))

rewrite769.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
60×times-frac
58×add-sqr-sqrt
34×exp-prod
22×add-cube-cbrt
21×distribute-lft-out--
18×log-pow
16×distribute-lft-out
14×associate-/r/
12×difference-of-squares
9×distribute-rgt-out-- add-log-exp
7×flip3-+ flip-+ div-inv
6×add-exp-log add-cbrt-cube
5×pow1 log-prod
4×exp-sum associate-/r*
3×sub-neg associate-/l*
2×exp-diff diff-log rem-exp-log
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num frac-sub flip-- sub-div
Counts
4 → 122
Calls
4 calls:
12.0ms
(/ x (+ x y))
153.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
302.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
296.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ x (+ x y))
107.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
108.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
130.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))

simplify2.6s

Counts
134 → 134
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
01571605
12981469
26091378
313411378
439901374
done50001374

prune435.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
2.9b
(log (exp (/ x (+ x y))))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
3×flip3-+ associate--l+ flip-+ div-inv
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
11.0ms
(/ y (+ x y))
12.0ms
(/ x (+ x y))
321.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
31.0ms
(log (exp (/ x (+ x y))))

series301.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ y (+ x y))
60.0ms
(/ x (+ x y))
113.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
70.0ms
(log (exp (/ x (+ x y))))

simplify2.5s

Counts
127 → 127
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01651346
12861150
26011106
312601106
434871102
done50001102

prune448.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
1913
done913

end0.0ms

sample650.0ms

Algorithm
intervals
Results
334.0ms8000×body80valid